CN112467744A - Distribution network frequency offset-oriented APF anti-frequency-interference harmonic instruction current prediction method - Google Patents

Distribution network frequency offset-oriented APF anti-frequency-interference harmonic instruction current prediction method Download PDF

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CN112467744A
CN112467744A CN202011445888.1A CN202011445888A CN112467744A CN 112467744 A CN112467744 A CN 112467744A CN 202011445888 A CN202011445888 A CN 202011445888A CN 112467744 A CN112467744 A CN 112467744A
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frequency
beat
lag
distribution network
apf
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CN112467744B (en
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陈继开
邵辉
李浩茹
李江
李卫国
刘闯
金国彬
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Northeast Electric Power University
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Northeast Dianli University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/01—Arrangements for reducing harmonics or ripples
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in networks
    • H02J3/1821—Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators
    • H02J3/1835—Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators with stepless control
    • H02J3/1842—Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators with stepless control wherein at least one reactive element is actively controlled by a bridge converter, e.g. active filters
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/20—Active power filtering [APF]

Abstract

An APF anti-frequency-interference harmonic instruction current prediction method for distribution network frequency deviation belongs to the technical field of power system power quality control. The invention aims to solve the problem of low prediction accuracy of an APF harmonic wave instruction current caused by power frequency (50Hz) deviation of a power distribution network, and provides an APF anti-frequency-interference harmonic wave instruction current prediction method for distribution network frequency deviation. The method comprises the following steps: according to the frequency offset of the distribution network, the delayed beats are countedNPerforming real-time calculation; accumulating the error by lagging the beat numberNDecomposing into an integer part and a fraction part; beat the lag scoreN FThe method is approximately expressed by a Lagrange interpolation polynomial; and constructing repeated prediction of the APF anti-frequency disturbance harmonic command current. The invention optimizes the structure of the traditional harmonic instruction current repeated prediction algorithm, reforms the error accumulation and the compensation quantity advanced output, and realizes the delay beat number when the distribution network frequency deviation occursNThe prediction accuracy of the APF compensation harmonic command current is improved.

Description

Distribution network frequency offset-oriented APF anti-frequency-interference harmonic instruction current prediction method
Technical Field
The invention belongs to the technical field of power quality control of power systems.
Background
An Active Power Filter (APF) is one of the main dynamic harmonic compensation devices, and is often used for harmonic suppression in low-voltage power distribution networks. The APF main circuit topology is shown in FIG. 1, where usIs the grid voltage uoFor the output voltage (rated power frequency f) of the AC side of the APFN＝50Hz)，isFor grid current, iLFor harmonic load currents, icThe current is output for the APF.
The APF numerical control sequence is shown in FIG. 2, where TsFor controlling the period, considering that the time consumed by sampling and calculating cannot be ignored, the modulation signal is usually delayed to the next period (namely, k +1 moment) for loading, and the command current needs to be predicted two periods earlier (namely, i* cx(k +2)), so that the current i is output at the moment of k +2cxThe tracking target of (k +2) is the command current i corresponding to the sampling current at the moment of k +2* cx(k + 2). The traditional practical command current prediction is usually realized by adopting a repeated prediction algorithm, the algorithm structure is shown in fig. 3, the repeated prediction is composed of error accumulation and advanced compensation links, the prediction error e (k) at each moment is detected, then the compensation quantity H is superposed on the command current in the next power frequency period in advance by two sampling periods, wherein N is the sampling frequency (namely error accumulation lag beat number) of each power frequency period, Q and k arerA constant gain of less than 1 is added to ensure stability of the predicted link. As the traditional repeated prediction method leads N to be 1/(f)NTs) Therefore, N is a fixed value, and therefore, when the distribution network frequency is shifted, the harmonic command current prediction accuracy will be reduced.
Disclosure of Invention
The invention aims to solve the problem of low prediction accuracy of an APF harmonic wave instruction current caused by power frequency (50Hz) deviation of a power distribution network, and provides an APF anti-frequency-interference harmonic wave instruction current prediction method for distribution network frequency deviation.
The method comprises the following steps:
s1, calculating the delayed beat number N in real time according to the frequency offset of the distribution network
Real-time acquisition distribution network power frequency fgCalculating the error accumulated lag beat number according to equation (1)
Figure BDA0002831097380000011
Wherein N is the accumulated lag beat number of error, fgFor distribution of network power frequency, TsIs a control period;
s2, decomposing the error accumulation lag beat number N into an integer and a fraction
Decomposing N into integer and fraction less than 1
Figure BDA0002831097380000012
In the formula, NIIs an integer closest to (N-l/2), NFIs N minus NIIs a fractional value, l is NFOf the approximation order of (2 [, ])]Representing a rounding calculation;
s3, beating the lag score to NFApproximated by lagrange interpolation polynomials
Beat the lag score by NFApproximating polynomials expressed as delayed integer beats with Lagrange's interpolation polynomial
Figure BDA0002831097380000013
Wherein f (n) is the coefficient corresponding to each equivalent integer beat
Figure BDA0002831097380000021
When l is 2, the coefficients of the terms are:
Figure BDA0002831097380000022
s4, constructing repeated prediction of APF anti-frequency disturbance harmonic command current
Firstly, obtaining an actual value of N according to a measured actual frequency of the distribution network voltage by using a formula (1);
secondly, under the premise of determining the approximate order l, the N is approximately decomposed into an integer N according to the formula (2) by the actual value of NIAnd a score of NFTwo parts;
again, for integer beat lag, the corresponding number of beats N is delayed directlyIFor the fractional beat lag, converting the fractional beat lag into a linear polynomial combination of the integer beat lag according to an equation (3), wherein the coefficient of each term is determined by an equation (4), so that the fractional beat lag is converted into the integer beat lag;
finally, the self-adaptive prediction of harmonic command current according to the frequency change of the distribution network is realized through the decomposition and equivalent processes for the lag beat N in the error accumulation link and the compensation quantity lead output link.
The method optimizes the structure of the traditional harmonic command current repeated prediction algorithm, reforms two parts of error accumulation and compensation quantity advanced output, and realizes the self-adaptive adjustment of the lagging beat number N when the frequency deviation of the distribution network occurs so as to improve the prediction precision of the APF compensation harmonic command current.
Drawings
Fig. 1 is a three-phase APF topology and overall control architecture.
Fig. 2 is an APF digital control sequence.
Fig. 3 is a conventional harmonic command current repeat prediction algorithm structure.
FIG. 4 is a structure of an APF harmonic disturbance resistant command current repetitive prediction algorithm.
Fig. 5 shows the predicted waveform of the harmonic command current and the waveform of the actual harmonic command current when the distribution network frequency is increased to 50.5Hz by using the conventional repetitive prediction algorithm and the prediction algorithm provided by the present invention.
Fig. 6 shows the predicted waveform of the harmonic command current and the waveform of the actual harmonic command current when the distribution network frequency is reduced to 49.5Hz by using the conventional repetitive prediction algorithm and the prediction algorithm provided by the present invention.
Detailed Description
The method comprises the following steps:
(1) and calculating the lagging beat number N in real time according to the frequency offset of the distribution network.
Real-time acquisition distribution network power frequency fgThe error accumulation lag beat number is calculated according to equation (1).
Figure BDA0002831097380000023
Wherein N is the accumulated lag beat number of error, fgFor distribution of network power frequency, TsIs a control cycle.
(2) Decomposing error accumulation lag beat number N into integer and fraction
Because the real-time distribution network power frequency fgThe continuous variation may cause that N is not equal to an integer, and the traditional harmonic command current repeated prediction algorithm cannot realize the hysteresis operation of non-integer beats, where N is decomposed into an integer and a fraction smaller than 1, and specifically calculated as formula (2):
Figure BDA0002831097380000024
in the formula, NIIs an integer closest to (N-l/2), NFIs N minus NIIs a fractional value, l is NFOf the approximation order of (2 [, ])]Representing a rounding calculation.
(3) Beat the lag score by NFApproximated by lagrange interpolation polynomials
Beat the lag score by NFApproximating a polynomial expressed as a lagged integer beat with a lagrange interpolation polynomial, as in equation (3):
Figure BDA0002831097380000031
where f (n) is the coefficient corresponding to each equivalent integer beat.
f (n) is represented by the formula (4)
Figure BDA0002831097380000032
When l is 2, the coefficients of the terms are:
Figure BDA0002831097380000033
(4) method for constructing repeated prediction algorithm of APF anti-frequency disturbance harmonic command current
Forming an APF anti-frequency disturbance harmonic command current repeated prediction algorithm based on the steps (1) - (3):
firstly, obtaining an actual value of N according to a measured actual frequency of the voltage of the distribution network by using a formula (1);
secondly, under the premise of determining the approximate order l, the N is approximately decomposed into an integer N according to the formula (2) by the actual value of the NIAnd a score of NFTwo parts;
thirdly, for integer beat lag, directly delaying the corresponding beat number NIFor the fractional beat lag, converting the fractional beat lag into a linear polynomial combination of the integer beat lag according to an equation (3), wherein the coefficient of each term is determined by an equation (4), so that the fractional beat lag is converted into the integer beat lag;
finally, the self-adaptive prediction of harmonic command current according to the frequency change of the distribution network is realized through the decomposition and equivalent processes for the lag beat N in the error accumulation link and the compensation quantity lead output link.
Example verification
In order to verify the correctness of the method provided by the invention, a power distribution network APF system simulation model is built according to the diagram shown in FIG. 1 based on an RT-LAB real-time simulation system, and simulation parameters are as follows: the voltage of a distribution network is 380V, the rated power grid frequency is 50Hz (allowable deviation is +/-0.5 Hz), the control period is 40 mus, the approximation order l of the Lagrange's difference polynomial is 2, a three-phase uncontrolled rectifier bridge is adopted to connect a resistor to simulate a nonlinear load, and the load resistor is 10 omega.
1) Increasing the frequency of distribution network to 50.5Hz
For traditional repeated prediction, no matter how the distribution network frequency fluctuates, the error accumulation lag beat number N is as follows:
Figure BDA0002831097380000034
for the prediction algorithm provided by the invention, when the distribution network frequency is increased to 50.5Hz, N is as follows:
Figure BDA0002831097380000035
the decomposition method provided by the invention comprises the following steps:
Figure BDA0002831097380000041
then lag by an integer of NI494, a lag of fractional beat NFExpressed as:
Figure BDA0002831097380000042
the coefficients of terms are:
Figure BDA0002831097380000043
the lag score beat may be specifically expressed as:
z-1.05≈-0.02375z0+0.9975z-1+0.02625z-2
therefore, by the method provided by the invention, the N is subjected to self-adaptive decomposition and equivalence according to the frequency change, so that the calculation accuracy of the N is improved, a foundation is laid for accurately predicting the harmonic command current, and the simulation result also proves the point.
Fig. 5 shows the predicted waveform of the harmonic command current and the waveform of the actual harmonic command current when the distribution network frequency is increased to 50.5Hz by using the conventional repetitive prediction algorithm and the prediction algorithm provided by the present invention.
As can be seen from fig. 5, when the frequency of the distribution network increases, the deviation between the prediction waveform of the conventional prediction algorithm and the actual harmonic command current is large (the maximum deviation is about 6.7A), and the prediction deviation of the optimized prediction algorithm is obviously reduced (the maximum deviation is only 0.8A), which proves that the prediction algorithm has strong adaptability to the frequency increase of the power grid system.
2) Distribution network frequency is reduced to 49.5Hz
Fig. 6 shows the predicted waveform of the harmonic command current and the waveform of the actual harmonic command current when the distribution network frequency is reduced to 49.5Hz by using the conventional repetitive prediction algorithm and the prediction algorithm provided by the present invention.
For the prediction algorithm provided by the invention, when the distribution network frequency is reduced to 49.5Hz, N is as follows:
Figure BDA0002831097380000044
the decomposition method provided by the invention comprises the following steps:
Figure BDA0002831097380000045
then lag by an integer of NIAt 504, the lag fraction beats NFExpressed as:
Figure BDA0002831097380000046
the coefficients of terms are:
Figure BDA0002831097380000051
the lag score beat may be specifically expressed as:
z-1.05≈-0.02375z0+0.9975z-1+0.02625z-2
as can be seen from fig. 6, when the frequency of the distribution network decreases, the deviation between the prediction waveform of the conventional prediction algorithm and the actual harmonic command current is large (the maximum deviation is about 6.5A), and the prediction deviation of the optimized prediction algorithm is significantly reduced (the maximum deviation is only 0.4A), which proves that the prediction algorithm has strong adaptability to the frequency decrease of the power grid system.
Simulation results show that compared with the traditional repeated prediction algorithm, the frequency disturbance resisting harmonic instruction current prediction method provided by the invention can realize more accurate prediction of harmonic instruction current under distribution network frequency deviation, the prediction deviation is greatly reduced no matter the distribution network frequency is increased or decreased, and the effectiveness of the algorithm is proved.

Claims (1)

1. An APF anti-frequency interference harmonic wave instruction current prediction method for distribution network frequency deviation is characterized in that: the method comprises the following steps:
s1, calculating the delayed beat number N in real time according to the frequency offset of the distribution network
Real-time acquisition distribution network power frequency fgCalculating the error accumulated lag beat number according to equation (1)
Figure FDA0002831097370000011
Wherein N is the accumulated lag beat number of error, fgFor distribution of network power frequency, TsIs a control period;
s2, decomposing the error accumulation lag beat number N into an integer and a fraction
Decomposing N into integer and fraction less than 1
Figure FDA0002831097370000012
In the formula, NIIs an integer closest to (N-l/2), NFIs N minus NIIs a fractional value, l is NFOf the approximation order of (2 [, ])]Representing a rounding calculation;
s3, beating the lag score to NFApproximated by lagrange interpolation polynomials
Beat the lag score by NFApproximating polynomials expressed as delayed integer beats with Lagrange's interpolation polynomial
Figure FDA0002831097370000013
Wherein f (n) is the coefficient corresponding to each equivalent integer beat
Figure FDA0002831097370000014
When l is 2, the coefficients of the terms are:
Figure FDA0002831097370000015
s4, constructing repeated prediction of APF anti-frequency disturbance harmonic command current
Firstly, obtaining an actual value of N according to a measured actual frequency of the distribution network voltage by using a formula (1);
secondly, under the premise of determining the approximate order l, the N is approximately decomposed into an integer N according to the formula (2) by the actual value of NIAnd a score of NFTwo parts;
again, for integer beat lag, the corresponding number of beats N is delayed directlyIFor the fractional beat lag, converting the fractional beat lag into a linear polynomial combination of the integer beat lag according to an equation (3), wherein the coefficient of each term is determined by an equation (4), so that the fractional beat lag is converted into the integer beat lag;
finally, the self-adaptive prediction of harmonic command current according to the frequency change of the distribution network is realized through the decomposition and equivalent processes for the lag beat N in the error accumulation link and the compensation quantity lead output link.
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